We as outsiders can't differentiate between Sunni and Shi'ah, but leave it to them and they'll get over the difficulty by some kind of hanky panky, just as the Turks did, and for the present it's the only way of getting over it. I don't for a moment doubt that the final authority must be in the hands of the Sunnis, in spite of their numerical inferiority; otherwise you will have a mujtahid-run, theocratic state, which is the very devil.